1) Someone who is greedy or has an insatiable desire for money.
2) Looking for a bribe or payoff.
That clubâs door guy had an itchy palm. He didnât want to let us in without coughing up a little extra somethin for him.
Origin: In Shakespeareâs âJulius Caesar,â Brutus says, âLet me tell you, Cassius, you yourself are much condemned to have an itching palm.â